
Fuzzy Sets, Fuzzy Operators, and Fuzzy Relations 139
( ) ( ) ( ) ( )
.1 ,9.0 ,5.0 ,2.0
AAA
==== dcba
A
µµµµ
When discussing the possibilities to be in A, which of these elements a, b, c, and d
has the largest uncertainty?
First, the element d has the concrete possibility, we say it has the least uncertainty.
The element a, on the other hand, has almost no possibility to pass the examination.
This student does not expect too much for his success and we might say he has rela-
tively less uncertainty. However, the student b might have the most uncertainty since
he has the possibility 0.5.
When the possibility is near to 0.5. the uncertainty gets the highest. ...